Explicit Conditions for Stability of Nonlinear Scalar Delay Impulsive Difference Equation

Explicit Conditions for Stability of Nonlinear Scalar Delay Impulsive Difference Equation

Explicit Conditions of Exponential Stability for a Linear Impulsive Delay Differential Equation

Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation

In this paper we consider the second order nonlinear neutral delay partial difference equation $Delta_nDelta_mbig(x_{m,n}+a_{m,n}x_{m-k,n-l}big)+ fbig(m,n,x_{m-tau,n-sigma}big)=b_{m,n}, mgeq m_{0},, ngeq n_{0}.$Under suitable conditions, by making use of the Banach fixed point theorem, we show the existence of uncountably many bounded positive solutions for the above partial difference equation...

A Note on Stability of Impulsive Scalar Delay Differential Equations

For a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stability presented in recent literature. The usual requirements on the impulses are also relaxed. As an ...

The Convergence and Stability of Explicit Difference Schemes for Nonlinear Schr Odinger Equation